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Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

Knut Smoczyk·Mu-Tao Wang
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Abstract

This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T^{2n} is convex, then the flow exists for all time and converges smoothly to a flat Lagrangian submanifold.

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Knut Smoczyk, Mu-Tao Wang. 2002-10-15. Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials. https://arxiv.org/abs/math/0209349

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